Transformation from Parent Functions

g(x)=f(x-4)
Describe the transformation to f(x) that results in g(x).

• f(x) has been translated to the right 4.

• f(x) has been translated to the left 4.

g(x)=f(x-3)
Describe the transformation to f(x) that results in g(x).

• f(x) has been translated to the right 3.

• f(x) has been translated to the left 3.

g(x)=f(x+5)
Describe the transformation to f(x) that results in g(x).

• f(x) has been translated to the left 5.

• f(x) has been translated to the right 5.

How did the equation shift from the parent function? y=x+2

• up 2

• down 2

• steeper

• flipped

Which parent function matches the graph?

• y = |x|

• y = ∛(x)

• y = x²

• y = a⋅b^x

Which parent function matches the graph? 

• f(x) = a⋅b^x

• f(x) = ∛(x)

• f(x) = √(x)

• f(x) = x²

Name the parent function. 

• constant

• square root

• linear

• absolute value

Describe the transformation from the parent graph

• Reflect over x, right 3, down 4

• Reflect over y, right 3, down 4

• Reflect over x, right 3, up 4

• Reflect over y, left 3, down 4

Describe the parent graph transformation

• vertical stretch by 1/2, left 1, down 3

• horizontal stretch by 1/2, right 1, down 3

• vertical compression by 1/2, left 1, down 3

• horizontal compression by 1/2, right 1, down 3

What transformations has the function undergone?

• reflect over y, vertical compression by 2, right 5, up 1

• reflect over x, horizontal compression by 2, left 5, up 1

• reflect over x, vertical stretch by 2, right 5, up 1

• reflect over y, horizontal stretch by -2, right 5, up 1